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Finding the Fourth Proportional to 834.30, 1,152.43 and 640.20

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Solution

The fourth proportional to 834.30, 1,152.43 and 640.20 is: 884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.30 : 1,152.43 = 640.20 : x
  2. Step 2: Convert to fraction form
    834.30/1,152.43 = 640.20/x
  3. Step 3: Cross multiply
    834.30x = 1,152.43 × 640.20
  4. Step 4: Simplify right side
    834.30x = 737,788.41
  5. Step 5: Solve for x
    x = 737,788.41/834.30
  6. Step 6: Final answer
    x = 884.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.